Refer to the vectors below. b = [4, 3, 1] c = [1, -4, 1] d = [−1, −1, −3] Compute the indicated vector. 2b - 3c + d =

Calculate v x w = (u₁, U2, U3). v = (9,5,6) w = (-8, 4, -7) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) VX W = 15i + 76j - 59k Incorrect

write WAN Given that -3 2 3 -5 4 = -5 3 2 3 -2 4 5 -4 4 as a linear combination of the vectors -5 3 -2 BETE @ @ @ 3 -5 3 -5 + 3 -2 4 5 3 4 5 100 1 001 3 0 27 23 125 23 166 23

If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b = help (vectors)

1. Let x = i +4j + 2k and y = i-3j - k. In this question, write all vectors in i, j, k notation. (a) ( Find |x||. (b) M Find 2x + 3y. (c) Find x. y. (d) Find x × y. Answer: Answer: Answer:

a, b, and c are vectors. Then the expression a×c+b×a is (a) Meaningless (b) A vector collinear with a (c) A vector orthogonal to a

Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

The figure below shows two named points A and B in R?. 6 4 A -1 -2 -3 -4 B -5 -6 -6 -5 -4 -3 -2 -1 5 6 1 3 4 > Part 1 Part 2 a. Write the vector BA as a sum of two vectors, one parallel to (1,0) and the other parallel to (0, -2). ВА- + b. Write the vector BA as a sum of two vectors, one parallel to (1, 1) and the other parallel to (-1, 1). BA = +

Determine whether the set of vectors is orthogonal. [-10] 10] [-10] -20 0 10 -10 -10 Select one: O A. Yes O B. No -10